Course Description
Open to: Grades 10, 11 One Year Course
Prerequisite: C/D in Algebra 1, Instructor/Counselor approval
Content: Students will study concepts of algebra, geometry and probability
with an emphasis on algebra.
Adopted Materials
Title: Algebra 1: Integration, Applications and Connections
Edition: 2001
Publisher Glencoe Mc Graw-Hill
ISBN: 0-07-822894-8
Additional Resources
Textbook: Glencoe, Algebra I Integration Applications
Connections, McGraw-Hill, 1997 (PH).
Marcy, Steve and Janis. Middle School Math with Pizazz C revised. Chicago.
Creative Publications, 1996. (CP-C)
Marcy, Steve and Janis. Middle School Math with Pizazz D revised. Chicago.
Creative Publications,1996. (CP-D)
Marcy, Steve and Janis. Middle School Math with Pizazz E revised. Chicago.
Creative Publications,1996. (CP-E)
Marcy, Steve and Janis. Algebra with Pizazz revised. Chicago. Creative
Publications, 1996. (CP-A)
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope Semester 1
| Unit 1 |
Real Number Operations |
3 Weeks |
| Unit 2 |
Exploring Rational Numbers |
3 Weeks |
| Unit 3 |
Solving Linear Equation |
3 Weeks |
| Unit 4 |
Using Proportional Reasoning |
3 Weeks |
| Unit
5 |
Graphing Relations
and Functions |
2 1/2 Weeks |
| Unit 6 |
Analyzing Linear Equations |
3 1/2 Weeks |
Course Scope Semester 2
| Unit 7 |
Solving Linear Inequalities |
3 Weeks |
| Unit 8 |
Solving Systems of Linear Equations
and Inequalities |
3 Weeks |
| Unit 9 |
Exploring Polynomials |
3 Weeks |
| Unit 10 |
Using Factoring |
3 1/2 Weeks |
| Unit 11 |
Exploring Quadratic and Exponential
Functions |
3 Weeks |
| Unit 12 |
Exploring Radical Expressions
and Equations |
2 1/2 Weeks |
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Real Number Operations |
3 weeks |
|
Instructional Objective
0814.01 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AI.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert decimals (terminating and repeating),
fractions, or percents interchangeably. |
Ch.1 |
TMT, EOC |
|
02 |
Classify numbers as rational, irrational and
locate on a number line. |
Ch.2 |
TMA |
|
Instructional Objective
0814.02 Understand properties of the real
number system. |
Standard Reference
AI.1.3.1a, AI.1.3.3a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Recognize and use a property of real numbers
(associative, commutative, distributive, and
equality) in an algebraic expression. |
Ch. 1-7, 1-8 |
TMT, EOC |
|
02 |
Identify and use identity and inverse properties
in algebraic expressions. |
Ch. 1-6 |
TMT, EOC |
|
Instructional Objective
0814.03 Use the proper order of operations.
Perform operations with real numbers. |
Standard Reference
AI.1.3.1a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the order of operations to simplify numerical
expressions. |
Ch. 1-3 |
TMT, EOC |
|
Instructional Objective
0814.04 Make and evaluate logical arguments. |
Standard Reference
AI.1.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Make and evaluate logical arguments (e.g., explain
why it is not possible to divide by zero.) |
Ch. 1-6 |
EOC |
|
Instructional Objective
0814.05 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
AI.1.3.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Translate an English phrase or sentence into
an algebraic expression and vice versa. |
Ch. 1.1 |
TMT, EOC |
|
Instructional Objective
0814.06 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AI.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform basic operations on positive and negative
numbers. |
Ch. 2 |
TMT, EOC |
|
Instructional Objective
0814.07 Use graphs, matrices, and sequences
to represent and solve problems. |
Standard Reference
AI.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use matrices to represent and solve problems. |
Ch. 2-3, 2-5, 2-6 |
TMA
|
|
Instructional Objective
0814.08 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
AI.3.1.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Translate an English phrase or sentence into
an algebraic expression and vice versa. |
Ch. 2.9 |
TMT, EOC |
|
Instructional Objective
0814.09 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.3.1,
AI.1.1.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate an algebraic expression using rational
numbers. |
Ch. 2-5, 2-6, 2-7 |
TMT, EOC |
|
Instructional Objective
0814.10 Understand and use appropriate procedures
to solve linear equations and inequalities
such. as:
3x – 4 = 2
or
3x – 4 > 2 |
Standard Reference
AI.3.1.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve absolute value equations. |
Ch. 2-3 |
TMT, EOC |
|
Instructional Objective
0814.11 Use a variety of methods, including
common mathematical formulas, to solve problems
drawn from daily life. |
Standard Reference
AI.3.2.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use a problem-solving model to develop and apply
problem-solving strategies. (e.g., guess and
Check, draw a diagram, make a list, work backwards,
and identify a simpler problem.) |
Ch. 3-3 |
TMT, EOC |
|
Instructional Objective
0814.12 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
AI.3.2.1,
AI.5.2.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Translate an English phrase or sentence into
an algebraic expression and vice versa.(e.g.,
define a variable, set up an equation, and solve.) |
Ch. 3-1, 3-2, 3-3, 3-4, 3-5 |
TMT, EOC |
|
02 |
Make predictions and draw conclusions based
on measures of central tendency. |
Ch. 3 |
|
|
Instructional Objective
0814.13 Understand and use appropriate procedures
to solve linear equations and inequalities
such. as:
3x – 4 = 2
or
3x – 4 > 2 |
Standard Reference
AI.3.2.1, AI.3.2.2b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve linear equations with one variable for
computational or word problems. |
Ch. 3-1, 3-2, 3-3 |
TMT, EOC |
|
02 |
Solve fractional equations. |
Ch. 3-2, 3-3 |
TMT, EOC |
|
03 |
Solve multi-step linear equations. |
Ch.3 |
TMA
EOC |
|
Back to Top |
|
Unit
4 |
Using Proportional
Reasoning |
3 weeks |
|
Instructional Objective
0814.14 Understand and use proportions, ratios,
and map scales. |
Standard Reference
AI.3.3.1a, b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Calculate the solutions to number problems using
ratios, proportions, and percents. |
Ch. 4-1 to 4-4 |
TMT, EOC |
|
Back to Top |
|
Unit
5 |
Graphing Relations
and Functions |
2½ weeks |
|
Instructional Objective
0814.15 Use graphs, matrices, and sequences
to represent and solve problems. |
Standard Reference
AI.3.1.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use graphs to represent and solve problems. |
Ch. 5 |
TMT, EOC |
|
Instructional Objective
0814.16 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.3.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate an algebraic expression using rational
numbers. |
Ch. 5-3 |
TMT, EOC |
|
Instructional Objective
0814.17 Represent a set of data in a table,
a graph, and as a mathematical relationship |
Standard Reference
AI.3.1.1a, d, AI.3.2.1a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify whether an expression, ordered pair,
or graph does or does not represent a function
and justify the conclusion. |
Ch. 5-5 |
TMT, EOC |
|
02 |
Find the range of a function, given its domain. |
Ch. 5-2, 5-3 |
TMT, EOC |
|
03 |
Evaluate functions written in function notation. |
Ch. 5 |
TMA |
|
Back to Top |
|
Unit
6 |
Analyzing Linear Equations |
3 ½ weeks |
|
Instructional Objective
0814.18 Use graphs, and sequences to represent
and solve problems. |
Standard Reference
AI.3.1.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use graphs and sequences to represent and solve
problems. |
Ch. 6 |
TMT, EOC |
|
Instructional Objective
0814.19 Understand the purpose and capabilities
or appropriate technology. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Discuss and understand the purpose and capabilities
or appropriate technology. |
Graphing calculator demonstration |
TO
|
|
Instructional Objective
0814.20 Understand concepts of the Cartesian
Coordinate System. |
Standard Reference
AI.3.1.1e, AI.3.1.2a,
AI.3.2.1b, AI.3.2.2,
AI.3.4.1a, AI.5.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the slope of a line using the slope
formula, the equation of the line, or the graph
of the equation. |
Ch. 6-1, 6-2, 6-5 |
TMT, EOC |
|
02 |
Determine the linear equation of the line using
the slope, y-intercept, or coordinates and will
compare the slopes of parallel and perpendicular
lines. |
Ch. 6-2, 6-6 |
TMT, EOC |
|
03 |
Determine a linear equation from analyzing the
graph of the equation. |
Ch. 6-5 |
TMA |
|
04 |
Graph a linear equation with one variable. |
Ch. 6 |
TMT, EOC |
|
05 |
Graph a linear equation with two variables. |
Ch. 6-5 |
|
|
06 |
Compare and contrast graphs of equations, changes
in slope, y-intercept. |
Ch. 6 |
|
|
07 |
Write equations and sketch lines of best fit. |
Ch. 6 |
|
|
08 |
Predict how changes in data will affect line
of best fit. |
Ch. 6 |
|
|
Instructional Objective
0814.21 Understand properties of the real
number system. |
Standard Reference
AI.3.2.2c,d |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve inequalities with one variable in computational
or word problems. |
Ch. 7 |
TMT, EOC |
|
02 |
Find the solution set for an inequality. |
Ch. 7 |
TMT, EOC |
|
03 |
Solve multi-step inequalities. |
Ch.7 |
TMT, EOC |
|
Instructional Objective
0814.22 Understand and use appropriate procedures
to solve linear equations and inequalities
such. As:
3x – 4 = 2
or
3x – 4 > 2 |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve absolute value equations. |
Ch. 7 |
TMT, EOC |
|
02 |
Solve inequalities with one variable in computational
or word problems. |
Ch. 7 |
TMT, EOC |
|
Instructional Objective
0814.23 Understand and use appropriate procedures
to solve simple linear systems of equations
and inequalities such. As
x + y = 7
2x + 3y = 21
or
x + y < 7
2x + 3y > 21 |
Standard Reference
AI.3.2.2a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate an inequality with two variables. |
Ch. 7-8 |
TMT, EOC |
|
02 |
Write an inequality to represent a problem situation
or write a possible solution that an inequality
could represent. |
Ch. 7 |
TMA |
|
03 |
Write an inequality to represent a problem situation
or write a possible solution that an inequality
could represent. |
Ch. 7 |
TMA |
|
Instructional Objective
0814.24 Understand concepts of the Cartesian
Coordinate System. |
Standard Reference
AI.3.1.1e, g, AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify inequalities by their representation
on a graph. |
Ch. 7 |
TMA
|
|
02 |
Graph an inequality with one or two variables. |
Ch. 7-8 |
TMT, EOC |
|
Instructional Objective
0814.25 Model real-world phenomena using polynomial,
and rational functions, noting restricted domains. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Model real-world phenomena using polynomial
and rational expressions. |
Ch. 7-8 |
TMT, EOC |
|
Back to Top |
|
Unit
8 |
Solving Systems of
Linear Equations and Inequalities |
3 weeks |
|
Instructional Objective
0814.26 Understand the purpose and capabilities
or appropriate technology. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Discuss and understand the purpose and capabilities
or appropriate technology. |
Graphing Calculator demonstration |
TO
|
|
Instructional Objective
0814.27 Understand and use appropriate procedures
to solve simple linear systems of equations
and inequalities such. As
x + y = 7
2x + 3y = 21
or
x + y < 7
2x + 3y > 21 |
Standard Reference
AI.3.1.1e, AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve systems of linear equations with two variables. |
Ch. 8-1 to 8-4 |
TMA
EOC |
|
02 |
Graph a linear equation with two variables. |
Ch. 8-1 |
TMT, EOC |
|
03 |
Evaluate an inequality with two variables. |
Ch. 8-5 |
TMT, EOC |
|
04 |
Write an inequality to represent a problem situation
or write a possible solution that an inequality
could represent. |
Ch. 8-5 |
TMA
|
|
Instructional Objective
0814.28 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AI.1.1.1, AI.1.3.1d |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert numbers from scientific notation (including
those with negative exponents) to the standard
form and vice versa. |
Ch. 9-3 |
TMT, EOC |
|
02 |
Understand and perform basic operations on positive
and negative numbers. |
Ch. 9 |
TMT, EOC |
|
Instructional Objective
0814.29 Understand properties of roots, and
exponents. |
Standard Reference
AI.1.1.3, AI.1.3.1b, c |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform operations on numerical expressions
containing integral exponents. |
Ch. 9 |
TMT, EOC |
|
Instructional Objective
0814.30 Use a variety of methods, including
common mathematical formulas, to solve problems
drawn from daily life. |
Standard Reference
AI.3.2.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use a problem-solving model to develop and apply
problem-solving strategies. (e.g., guess and
Check, draw a diagram, make a list, work backwards,
and identify a simpler problem.) |
Ch. 9 |
TMT, EOC |
|
Instructional Objective
0814.31 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.1.1, AI.1.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Multiply perfect squares and perfect square
trinomials. |
Ch. 9-7 |
TMT, EOC |
|
02 |
Evaluate an expression using exponents. |
Ch. 9 |
TMT, EOC |
|
Instructional Objective
0814.32 Use number theory concepts (divisibility
rules, factors, multiples, primes) to solve
problems. |
Standard Reference
AI.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Apply definitions of prime and composite numbers
to solve mathematical problems. |
Ch. 10-1 |
TMT, EOC |
|
Instructional Objective
0814.33 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.3.3b, c, AI.3.2.2g |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Factor simple polynomials. |
Ch. 10-2 |
TMT, EOC |
|
02 |
Factor the difference of two squares or perfect
square trinomials. |
Ch. 10-3, 10-4, 10-5 |
TMT, EOC |
|
Instructional Objective
0814.34 Use appropriate procedures to simplify
and solve polynomial equations and inequalities
such. As
x2 + 3x = 7
or
x2 + 3x < 7 |
Standard Reference
AI.1.3.3 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve polynomial word problems with or without
factoring. |
Ch. 10-6 |
TMT, EOC |
|
Back to Top |
|
Unit
11 |
Exploring Quadratic
and Exponential Functions |
3 weeks |
|
Instructional Objective
0814.35 Understand properties of roots, and
exponents. |
Standard Reference
AI.1.1.2, AI.1.2.1, AI.3.1.2c, d, AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve quadratic expressions containing roots
and integral exponents. |
Ch. 11-2, 11-3 |
TMT, EOC |
|
02 |
Estimate square roots and understand that squaring
and square roots are inverse operations. |
Ch.2, Ch.13 |
TMA |
|
03 |
Identify the graphs of quadratic functions as
parabolas that open up or down depending upon
the leading coefficient. |
Ch. 11 |
TMA |
|
04 |
Relate the solutions of quadratic functions
to the points where the graphs cross the x-axes. |
Ch. 11 |
TMA |
|
Back to Top |
|
Unit
12 |
Exploring Radical Expressions
and Equations |
2 ½ weeks |
|
Instructional Objective
0814.36 Understand properties of roots, and
exponents. |
Standard Reference
AI.1.1.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform basic operations to simplify radical
expressions containing variables. |
Ch. 13-3, 13-4 |
TMT, EOC |
|
02 |
Solve radical equations. |
Ch. 13-5 |
TMT, EOC |
|
Instructional Objective
0814.37 Understand and use appropriate procedures
to solve linear equations and inequalities
such. as:
3x – 4 = 2
or
3x – 4 > 2 |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve radical equations. |
Ch. 13-5 |
TMT, EOC |
|
Instructional Objective
0814.38 Know and apply the Pythagorean Theorem
to solve real world problems. |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the lengths of the sides or a right triangle
using the Pythagorean Theorem. |
Ch. 13-1 |
TMT, EOC |
|
Instructional Objective
0814.39 Apply number sense to everyday situations |
Standard Reference
AI.1.3.2a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the reasonableness to computation
and word problems, choosing an appropriate method
(e.g., using estimation, evaluating according
to context). |
Throughout Text |
TMT, EOC |
|
Instructional Objective
0814.40 Understand the nature and use of mathematical
models. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Apply mathematical models to solve problems. |
Throughout Text |
TMT, EOC |
|
Instructional Objective
0814.41 Select the appropriate means to communicate
mathematical information. |
Standard Reference
AI.1.3.2b, AI.2.1.1a, AI.3.1.1f |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Construct tables, charts, or graphs to represent
mathematical data. |
Throughout Text |
TMT, EOC |
|
Instructional Objective
0814.42 Determine length, area, capacity,
weight, time, and temperature with appropriate
units. |
Standard Reference
AI.2.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use US customary and metric units of measurement
to calculate perimeter, area. |
Throughout Text |
TMT, EOC |
|
Instructional Objective
0814.43 Understand equivalent units, comparable
units, and conversions |
Standard Reference
AI.2.2.1a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use equivalent units, comparable units, and
conversions. |
Throughout Text |
TMT, EOC |
|
Instructional Objective
0814.44 Understand units and their relationship
to one another and to real world applications. |
Standard Reference
AI.2.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use measurement in word problems (e.g., rate,
distance). |
Throughout Text |
TMT, EOC |
|
Instructional Objective
0814.45 Understand that error accumulates
in a computation when there is rounding at
intermediate steps. |
Standard Reference
AI.1.3.2a, AI.2.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the reasonableness to computation
and word problems, choosing an appropriate method
(e.g., using estimation, evaluating according
to context). |
Throughout Text |
TMT, EOC |
Back to Top
|
|
|
|
|
Mathematics curriculum contact:
|
|
